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ArticleOriginal scientific text

Title

The Dugundji extension property can fail in ωµ -metrizable spaces

Authors 1, 1

Affiliations

  1. Department of Mathematical, Sciences University of North Carolina at Greensboro Greensboro, North Carolina 27410, U.S.A.

Abstract

We show that there exist ωμ-metrizable spaces which do not have the Dugundji extension property (2ω1 with the countable box topology is such a space). This answers a question posed by the second author in 1972, and shows that certain results of van Douwen and Borges are false.

Keywords

ENG
Dugundji extension theorem, ωμ-metrizable spaces, box topology, Baire category, Michael line

Bibliography

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Fundamenta Mathematicae
1996/150/1
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Pages:
11-16
Main language of publication
English
Received
1995-05-19
Accepted
1995-11-07
Published
1996
Exact and natural sciences